Science and Art in Representing the Fifth Dimension

Tijana T. Ivancevic, Nick N. Ivancevic, Sasa A. Jovanovic

In this paper we implore several scientific and artistic techniques to visualize and represent the ‘invisible’ fourth and fifth dimensions. For visualizing the fourth dimension we use an example from multivariable calculus and a numerical solution of the nonlinear wave equation in (2+1) dimensions. For representing the fifth dimension we use exterior calculus and Stokes theorem, with applications to four– and five–dimensional electrodynamics.